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Finding the Fourth Proportional to 509.52, 702.47 and 351.87

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Solution

The fourth proportional to 509.52, 702.47 and 351.87 is: 485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 702.47 = 351.87 : x
  2. Step 2: Convert to fraction form
    509.52/702.47 = 351.87/x
  3. Step 3: Cross multiply
    509.52x = 702.47 × 351.87
  4. Step 4: Simplify right side
    509.52x = 247,176.36
  5. Step 5: Solve for x
    x = 247,176.36/509.52
  6. Step 6: Final answer
    x = 485.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.